Finite orbit energetic particle linear response to toroidal Alfven eigenmodes

Journal Article · Sun Mar 01 00:00:00 EST 1992 · Physics Letters. A

DOI:https://doi.org/10.1016/0375-9601(92)90009-b· OSTI ID:5300034

Berk, H. L. ^[1]; Breizman, B. N. ^[1]; Ye, Huanchun ^[1]

---

1. Univ. of Texas, Austin, TX (United States). Institute for Fusion Studies

The linear response of energetic particles to the TAE modes is calculated taking into account their finite orbit excursion from the flux surfaces. The general expression reproduces the previously derived theory for small banana width: when the banana width $$\Delta_b$$ is much larger than the mode thickness $$\Delta_m$$, we obtain a new compact expression for the linear power transfer. When $$\Delta_m/\Delta_b$$ $$\gg 1$$, the banana orbit effect reduces the power transfer by a factor of $$\Delta_m/\Delta_b$$ from that predicted by the narrow orbit theory. A comparison is made of the contribution to the TAE growth rate of energetic particles with a slowing-down distribution arising from an isotropic source, and a balance-injected beam source when the source speed is close to the Alfven speed. For the same stored energy density, the contribution from the principal resonances $$(|v_{||}| = v_A)$$ is substantially enhanced in the beam case compared to the isotropic case, while the contribution at the higher sidebands $$(|v_1|-v_A/(2\ell-1)$$ with $$\ell≥2)$$ is substantially reduced. 10 refs.

• Research Organization: Univ. of Texas, Austin, TX (United States). Institute for Fusion Studies
• Sponsoring Organization: USDOE
• Grant/Contract Number: FG05-80ET53088
• OSTI ID: 5300034
• Alternate ID(s): OSTI ID: 5161345
• Report Number(s): DOE/ET--53088-507; IFSR--507; ON: DE91018418
• Journal Information: Physics Letters. A, Journal Name: Physics Letters. A Journal Issue: 6 Vol. 162; ISSN 0375-9601
• Publisher: Elsevier
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700103* -- Fusion Energy-- Plasma Research-- Kinetics
700107 -- Fusion Energy-- Plasma Research-- Instabilities
ALFVEN WAVES
ALPHA PARTICLES
BANANA REGIME
CHARGED PARTICLES
CLOSED PLASMA DEVICES
DISTRIBUTION FUNCTIONS
FUNCTIONS
HYDROMAGNETIC WAVES
INSTABILITY
ORBITS
PARTICLE LOSSES
PLASMA INSTABILITY
THERMONUCLEAR DEVICES
TOKAMAK DEVICES
TRAPPING